Carroll symmetry in gravity and string theory

          @misc{ pirsa_PIRSA:22100039,
            doi = {10.48660/22100039},
            url = {https://pirsa.org/22100039},
            author = {},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Carroll symmetry in gravity and string theory},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100039 see, \url{https://pirsa.org}}
          }
          

Abstract

I will discuss the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. The leading order in the expansion leads to an action that corresponds to the electric Carroll limit of general relativity, of which I will highlight some interesting properties. The next-to-leading order will also be obtained, which exhibits a particular subsector that correspond to the magnetic Carroll limit, which features a solution that describes the Carroll limit of a Schwarzschild black hole. The incorporation of a cosmological constant in the Carroll (or ultra-local) expansion will also be commented on. Finally, I will describe how Carroll symmetry and geometry arises on the world-sheet of certain limits of string theory sigma models.